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Finding the Third Proportional to 11,863.13 and 18,513.56

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Solution

The third proportional to 11,863.13 and 18,513.56 is: 28,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.13 : 18,513.56 = 18,513.56 : x
  2. Step 2: Convert to fraction form
    11,863.13/18,513.56 = 18,513.56/x
  3. Step 3: Cross multiply
    11,863.13x = 18,513.56 × 18,513.56
  4. Step 4: Simplify right side
    11,863.13x = 342,751,996.44
  5. Step 5: Solve for x
    x = 342,751,996.44/11,863.13
  6. Step 6: Final answer
    x = 28,892.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.